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Finding the Third Proportional to 39,406 and 57,642

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Solution

The third proportional to 39,406 and 57,642 is: 84,317.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,406 : 57,642 = 57,642 : x
  2. Step 2: Convert to fraction form
    39,406/57,642 = 57,642/x
  3. Step 3: Cross multiply
    39,406x = 57,642 × 57,642
  4. Step 4: Simplify right side
    39,406x = 3,322,600,164
  5. Step 5: Solve for x
    x = 3,322,600,164/39,406
  6. Step 6: Final answer
    x = 84,317.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.